Revisiting Schur's bound on the largest singular value

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125069We give upper and lower bounds on the largest singular value of a matrix using analogues to walks in graphs. For nonnegative matrices these bounds are asymptotically tight. In particular, we improve a bound due to I. Schur.Functional Analysis15A60Revisiting Schur's bound on the largest singular valuetext